Charge-statistics separation and probing non-Abelian states

TL;DR

This paper proposes a transport measurement experiment in quantum Hall systems to distinguish between different candidate states for the $ u=5/2$ plateau, including Pfaffian and anti-Pfaffian states, based on charge-statistics separation.

Contribution

It introduces a novel experimental setup that can differentiate non-Abelian quantum Hall states regardless of quasiparticle number fluctuations.

Findings

The experiment can distinguish Pfaffian and anti-Pfaffian states.

Transport measurements are insensitive to quasiparticle number fluctuations.

The method provides a new way to identify non-Abelian states in quantum Hall systems.

Abstract

Several states were proposed as candidates for the $\nu=5/2$ quantum Hall plateau. We suggest an experiment which can determine the physical state. The proposal involves transport measurements in the geometry with three quantum Hall edges connected by two quantum point contacts. In contrast to interference experiments, this approach can distinguish the Pfaffian and anti-Pfaffian states as well as different states with identical Pfaffian or anti-Pfaffian statistics. The transport is not sensitive to the fluctuations of the number of the quasiparticles trapped in the system.